Global regularity for a 1D Euler-alignment system with misalignment
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Publication:5164212
DOI10.1142/S021820252150010XzbMath1473.35452arXiv2004.03652OpenAlexW3129733157MaRDI QIDQ5164212
Qianyun Miao, Liutang Xue, Changhui Tan
Publication date: 10 November 2021
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03652
PDEs in connection with fluid mechanics (35Q35) Population dynamics (general) (92D25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Fractional partial differential equations (35R11)
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Global Regularity for a Nonlocal PDE Describing Evolution of Polynomial Roots Under Differentiation ⋮ Critical thresholds in the Euler-Poisson-alignment system ⋮ Global well-posedness and asymptotic behavior in critical spaces for the compressible Euler system with velocity alignment ⋮ Asymptotic behaviors for the compressible Euler system with nonlinear velocity alignment ⋮ Finite- and infinite-time cluster formation for alignment dynamics on the real line ⋮ Eulerian Dynamics in Multidimensions with Radial Symmetry
Cites Work
- Unnamed Item
- Nonlocal maximum principles for active scalars
- A new model for self-organized dynamics and its flocking behavior
- Blow up and regularity for fractal Burgers equation
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- From particle to kinetic and hydrodynamic descriptions of flocking
- Mathematical modeling of collective behavior in socio-economic and life sciences
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Global regularity for the fractional Euler alignment system
- On Kato-Ponce and fractional Leibniz
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)
- Global regularity of two-dimensional flocking hydrodynamics
- Singularity formation for a fluid mechanics model with nonlocal velocity
- Regularity and singularity results for the dissipative Whitham equation and related surface wave equations
- Global existence and stability of nearly aligned flocks
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
- Global well-posedness of slightly supercritical active scalar equations
- Critical thresholds in 1D Euler equations with non-local forces
- Heterophilious Dynamics Enhances Consensus
- Critical thresholds in flocking hydrodynamics with non-local alignment
- Fourier Analysis and Nonlinear Partial Differential Equations
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces
- Eulerian dynamics with a commutator forcing
- Challenges in active particles methods: Theory and applications
- Regular solutions to the fractional Euler alignment system in the Besov spaces framework
- On the Euler-alignment system with weakly singular communication weights
- Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions
- On a nonlocal analog of the Kuramoto–Sivashinsky equation
- Emergent Behavior in Flocks
